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Finding the Third Proportional to 219,602.25 and 479,362.50

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Solution

The third proportional to 219,602.25 and 479,362.50 is: 1,046,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,602.25 : 479,362.50 = 479,362.50 : x
  2. Step 2: Convert to fraction form
    219,602.25/479,362.50 = 479,362.50/x
  3. Step 3: Cross multiply
    219,602.25x = 479,362.50 × 479,362.50
  4. Step 4: Simplify right side
    219,602.25x = 229,788,406,406.25
  5. Step 5: Solve for x
    x = 229,788,406,406.25/219,602.25
  6. Step 6: Final answer
    x = 1,046,384.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.